A quotient of the Artin braid groups related to crystallographic groups

[1]  Ivan Marin Crystallographic groups and flat manifolds from complex reflection groups , 2015, 1509.06213.

[2]  O. Uribe,et al.  Grupos de tranças Brunnianas e grupos de homotopia da esfera S2 , 2013 .

[3]  Ivan Marin The cubic Hecke algebra on at most 5 strands , 2011, 1110.6621.

[4]  Jie Wu,et al.  Artin braid groups and homotopy groups , 2009 .

[5]  Mihai D. Staic,et al.  A QUOTIENT OF THE BRAID GROUP RELATED TO PSEUDOSYMMETRIC BRAIDED CATEGORIES , 2009, 0902.0512.

[6]  F. Cohen,et al.  Configurations, braids, and homotopy groups , 2005 .

[7]  Ivan Marin On the representation theory of braid groups , 2005, math/0502118.

[8]  D. Gonçalves,et al.  The braid groups of the projective plane , 2004, math/0409350.

[9]  Hugh R. Morton,et al.  ALGORITHMS FOR POSITIVE BRAIDS , 1994 .

[10]  P. M. Neumann,et al.  Groups and Geometry , 1994 .

[11]  Michael E. Hoffman An invariant of finite Abelian groups , 1987 .

[12]  Leonard S. Charlap,et al.  Bieberbach Groups and Flat Manifolds , 1986 .

[13]  H. Brown,et al.  Crystallographic Groups of Four-Dimensional Space , 1978 .

[14]  J. Tits Normalisateurs de tores I. Groupes de coxeter étendus , 1966 .

[15]  星埜 禎男 International Tables for X-Ray Crystallography., Vol.1. Symmetry Groups: Edited by N.F.M. Henry and K.Lonsdale, 1952, 558頁, 22×28cm, 105シリング。, Vol.2. Mathematical Tables: Edited by J.S.Kasper and K.Lonsdale 1959, 444頁, 22×28cm, 115シリング。 , 1961 .

[16]  P. P. Ewald,et al.  International Tables for X-Ray Crystallography , 1953, Nature.

[17]  D. Holt,et al.  Presentation of Groups , 2013 .

[18]  K. Murasugi,et al.  A study of braids , 1999 .

[19]  Karel Dekimpe,et al.  Almost-Bieberbach Groups: Affine and Polynomial Structures , 1996 .

[20]  È. Vinberg,et al.  Spaces of constant curvature , 1993 .

[21]  V. Hansen Braids and Coverings: Selected Topics , 1989 .

[22]  J. Conway,et al.  ATLAS of Finite Groups , 1985 .

[23]  R. H. Crowell,et al.  Presentation of Groups , 1963 .

[24]  H. LIPSON,et al.  International union of crystallography , 1953 .